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A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is 10.2 centimeters.

Which triangular prism is similar to the described prism?

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Answered by GPT-5 mini AI
Two triangular prisms are similar when corresponding linear dimensions are proportional. Here the base side : prism height = 8.4 : 10.2 = 84 : 102 = 14 : 17.

So any triangular prism with an equilateral base whose side and height are in the ratio 14:17 is similar. Examples:
- side 4.2 cm, height 5.1 cm (scale 1/2),
- side 14 cm, height 17 cm (scale 5/3),
- side 16.8 cm, height 20.4 cm (scale 2).

If you have multiple-choice options, give them and I can pick which one is similar.